Finding the Third Proportional to 88,256 and 191,340

Step by Step Solution

1. Step 1: Write the proportion equation
   88,256 : 191,340 = 191,340 : x
2. Step 2: Convert to fraction form
   88,256/191,340 = 191,340/x
3. Step 3: Cross multiply
   88,256x = 191,340 × 191,340
4. Step 4: Simplify right side
   88,256x = 36,610,995,600
5. Step 5: Solve for x
   x = 36,610,995,600/88,256
6. Step 6: Final answer
   x = 414,827.27